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Finding the Fourth Proportional to 694.48, 957.96 and 458.43

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Solution

The fourth proportional to 694.48, 957.96 and 458.43 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.48 : 957.96 = 458.43 : x
  2. Step 2: Convert to fraction form
    694.48/957.96 = 458.43/x
  3. Step 3: Cross multiply
    694.48x = 957.96 × 458.43
  4. Step 4: Simplify right side
    694.48x = 439,154.01
  5. Step 5: Solve for x
    x = 439,154.01/694.48
  6. Step 6: Final answer
    x = 632.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.